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Finding the Third Proportional to 19.30 and 40.82

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Solution

The third proportional to 19.30 and 40.82 is: 86.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.30 : 40.82 = 40.82 : x
  2. Step 2: Convert to fraction form
    19.30/40.82 = 40.82/x
  3. Step 3: Cross multiply
    19.30x = 40.82 × 40.82
  4. Step 4: Simplify right side
    19.30x = 1,665.98
  5. Step 5: Solve for x
    x = 1,665.98/19.30
  6. Step 6: Final answer
    x = 86.32

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.